Question

Ghosh Babu thinks of a natural number, which is less than 100. This number has a property of being a perfect square as well as a perfoot cube What is
ne number of possible values that Ghosh Babu could have thought of?
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Answer 1

Given : Ghosh Babu thinks of a natural number, which is less than 100

This number has a property of being a perfect square as well as a perfoot cube

To Find : What is  the number of possible values that Ghosh Babu could have thought of

Solution:

Perfect Cube below 100

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125 > 100  

Out of the 4 perfect cube

1 & 64  are perfect square as well

1 = 1²

64 = 8²

Ghosh Babu could have thought of 2 numbers

1 or 64

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